A Caltech Library Service

Analytic closures for M1 neutrino transport

Murchikova, E. M. and Abdikamalov, E. and Urbatsch, T. (2017) Analytic closures for M1 neutrino transport. Monthly Notices of the Royal Astronomical Society, 469 (2). pp. 1725-1737. ISSN 0035-8711. doi:10.1093/mnras/stx986.

[img] PDF - Published Version
See Usage Policy.

[img] PDF - Submitted Version
See Usage Policy.


Use this Persistent URL to link to this item:


Carefully accounting for neutrino transport is an essential component of many astrophysical studies. Solving the full transport equation is too expensive for most realistic applications, especially those involving multiple spatial dimensions. For such cases, resorting to approximations is often the only viable option for obtaining solutions. One such approximation, which recently became popular, is the M1 method. It utilizes the system of the lowest two moments of the transport equation and closes the system with an ad hoc closure relation. The accuracy of the M1 solution depends on the quality of the closure. Several closures have been proposed in the literature and have been used in various studies. We carry out an extensive study of these closures by comparing the results of M1 calculations with precise Monte Carlo calculations of the radiation field around spherically symmetric protoneutron star models. We find that no closure performs consistently better or worse than others in all cases. The level of accuracy that a given closure yields depends on the matter configuration, neutrino type and neutrino energy. Given this limitation, the maximum entropy closure by Minerbo on average yields relatively accurate results in the broadest set of cases considered in this work.

Item Type:Article
Related URLs:
URLURL TypeDescription Paper
Additional Information:© 2017 The Authors. Published by Oxford University Press on behalf of the Royal Astronomical Society. Accepted 2017 April 21. Received 2017 April 15; in original form 2017 January 24. Published: 25 April 2017. We thank Evan P. O'Connor, Christian D. Ott and John Wendell for their input. We also thank Adam Burrows, David Radice, Sherwood Richers and Luke Roberts for helpful discussions. This work was supported by IGPPS programme at Los Alamos National Laboratory (2012–2015) and partially by the Sherman Fairchild Foundation. EM is grateful to David and Barbara Groce for their kindness and support. EA acknowledges support from NU ORAU and Social Policy grants. LANL report number LA-UR-17-20390.
Funding AgencyGrant Number
Los Alamos National LaboratoryUNSPECIFIED
Sherman Fairchild FoundationUNSPECIFIED
Subject Keywords:hydrodynamics – neutrinos – radiative transfer – stars: evolution – stars: neutron – supernovae: general
Issue or Number:2
Record Number:CaltechAUTHORS:20170828-083308068
Persistent URL:
Official Citation:E. M. Murchikova, E. Abdikamalov, T. Urbatsch; Analytic closures for M1 neutrino transport, Monthly Notices of the Royal Astronomical Society, Volume 469, Issue 2, 1 August 2017, Pages 1725–1737,
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:80834
Deposited By: Tony Diaz
Deposited On:28 Aug 2017 19:07
Last Modified:15 Nov 2021 19:39

Repository Staff Only: item control page